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Finding the Fourth Proportional to 268,480.20, 402,374.70 and 205,840.20

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Solution

The fourth proportional to 268,480.20, 402,374.70 and 205,840.20 is: 308,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,480.20 : 402,374.70 = 205,840.20 : x
  2. Step 2: Convert to fraction form
    268,480.20/402,374.70 = 205,840.20/x
  3. Step 3: Cross multiply
    268,480.20x = 402,374.70 × 205,840.20
  4. Step 4: Simplify right side
    268,480.20x = 82,824,888,722.94
  5. Step 5: Solve for x
    x = 82,824,888,722.94/268,480.20
  6. Step 6: Final answer
    x = 308,495.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.